Finding the Third Proportional to 105,381 and 240,003

Step by Step Solution

1. Step 1: Write the proportion equation
   105,381 : 240,003 = 240,003 : x
2. Step 2: Convert to fraction form
   105,381/240,003 = 240,003/x
3. Step 3: Cross multiply
   105,381x = 240,003 × 240,003
4. Step 4: Simplify right side
   105,381x = 57,601,440,009
5. Step 5: Solve for x
   x = 57,601,440,009/105,381
6. Step 6: Final answer
   x = 546,601.76